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Finding the Third Proportional to 202,005 and 424,948

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Solution

The third proportional to 202,005 and 424,948 is: 893,942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,005 : 424,948 = 424,948 : x
  2. Step 2: Convert to fraction form
    202,005/424,948 = 424,948/x
  3. Step 3: Cross multiply
    202,005x = 424,948 × 424,948
  4. Step 4: Simplify right side
    202,005x = 180,580,802,704
  5. Step 5: Solve for x
    x = 180,580,802,704/202,005
  6. Step 6: Final answer
    x = 893,942.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.